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Finding the Fourth Proportional to 53,613, 73,985.94 and 29,743.24

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Solution

The fourth proportional to 53,613, 73,985.94 and 29,743.24 is: 41,045.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,613 : 73,985.94 = 29,743.24 : x
  2. Step 2: Convert to fraction form
    53,613/73,985.94 = 29,743.24/x
  3. Step 3: Cross multiply
    53,613x = 73,985.94 × 29,743.24
  4. Step 4: Simplify right side
    53,613x = 2,200,581,570.05
  5. Step 5: Solve for x
    x = 2,200,581,570.05/53,613
  6. Step 6: Final answer
    x = 41,045.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.